MATH 140 WIR2 #7a
Graphing a line without using technology
Making Linear Functions Video 1
Author: John Fisk
The video explains how to write the equation of a line through two given points. First, you find the slope, and then use point-slope form with the slope and one of the points. The video demonstrates the process for the example below. You can try it before watching the video and click "Reveal Answer" to see if you are correct.
Problem: Write the equation of the line through the points \((2,4)\) and \((6,1).\)
\(y=-\dfrac{3}{4}x+\dfrac{11}{2}\)
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Properties of Rational Functions and Expressions Video 4
Finding horizontal asymptotes for rational functions
Properties of Rational Functions and Expressions Video 5
Determining the end behavior and horizontal asymptotes for rational functions
Properties of Rational Functions and Expressions Video 6
Explaining basic algebraic operations for fractions
Properties of Rational Functions and Expressions Video 7
How to simplify rational expressions
Properties of Rational Functions and Expressions Video 8
Adding and subtracting rational expressions by finding a common denominator
Properties of Rational Functions and Expressions Video 9
Explaining how to multiply and divide rational expressions
Properties of Rational Functions and Expressions Video 10
Performing algebraic operations with rational expressions and simplifying the answer
Solving Rational Equations Video 1
Solving equations that contain rational expressions
Solving Rational Equations Video 2
Solving an equation that contains rational expressions
Solving Rational Equations Video 3
Solving an equation that contains rational expressions
Functions of Several Variables Conceptual V1
Introducing functions of several variables and level curves
Functions of Several Variables Exercise V1
Evaluating and then finding and sketching the domain of a function of two variables
Functions of Several Variables Exercise V2
Finding and sketching the domain of a function of two variables
Functions of Several Variables Exercise V3
Sketching the level curves for a function of two variables
Functions of Several Variables Exercise V4
Sketching the level curves for a function of two variables
Functions of Several Variables Exercise V5
Sketching the level curves for a function of two variables
Partial Derivatives Conceptual V1.2
Explanation of partial derivatives for functions with more than one variable
Partial Derivatives Exercise V1
Finding the partial derivatives of a function
Partial Derivatives Exercise V2
Finding the partial derivatives of a function with two variables
Partial Derivatives Exercise V3
Example of finding a partial derivative of a function with two variables
Tangent Planes and Linear Approximations Conceptual V1.1
Explaining tangent planes for functions of two variables and how to calculate them
What is a Graph?
Explaining that a graph is a collection of vertices and edges
Euler Circuits Example 1
Drawing a graph to depict a bus route
Euler Circuits Example 2
Counting the vertices and edges from a graph
Euler Circuits Example 3
Identifying the adjacent vertices in a graph
Euler Circuits Example 4
Finding two different paths between vertices in a graph
Euler Circuits Example 5
Determining if a list of vertices in a graph is a path, circuit, Euler path, Euler circuit, or none of the above
Euler Circuits Example 6
Determining if a list of vertices in a graph is a path, a circuits, an Euler path, an Euler circuit, or none of the above
Euler Circuits Example 7
Determining if a list of vertices in a graph is a path, a circuits, an Euler path, an Euler circuit, or none of the above
Euler Circuits Example 8
Determining if a list of vertices in a graph is a path, a circuits, an Euler path, an Euler circuit, or none of the above
Euler Circuits Example 9
Determining if a list of vertices in a graph is a path, a circuits, an Euler path, an Euler circuit, or none of the above
Euler Circuits Example 10
Determining if a list of vertices in a graph is a path, a circuits, an Euler path, an Euler circuit, or none of the above
Finding Euler Circuits
Explaining Euler's Theorem on when a graph has an Euler path or Euler circuit
Finding Euler Circuits Example 1
Finding the valence of each vertex in a graph
Hamiltonian Circuits
Explaining Hamiltonian Circuits and paths, the Method of Trees to find them, and the number of Hamiltonian circuits for complete graphs
Hamiltonian Circuits Example 1
Determining if a graph has a Hamiltonian path, Hamiltonian Circuit, or neither
Hamiltonian Circuits Example 2
Determining if a graph has a Hamiltonian path, Hamiltonian Circuit, or neither
Hamiltonian Circuits Example 3
Determining if a graph has a Hamiltonian path, Hamiltonian Circuit, or neither
Hamiltonian Circuits Example 4
Determining if a graph has a Hamiltonian path, Hamiltonian Circuit, or neither
Hamiltonian Circuits Example 5
Using the method of trees to find all Hamiltonian circuits of a graph starting at a given vertex
Hamiltonian Circuits Example 8
Determining if a graph is a complete graph
Hamiltonian Circuits Example 9
Determining if a graph is a complete graph
Hamiltonian Circuits Example 10
Determining if a graph is a complete graph
Hamiltonian Circuits Example 11
Determining if a graph is a complete graph
Minimum-Cost Spanning Trees Example 1
Finding two spanning trees for a graph
Functions of Several Variables Conceptual V1
Introducing functions of several variables and level curves
Partial Derivatives Conceptual V1.2
Explanation of partial derivatives for functions with more than one variable
Tangent Planes and Linear Approximations Conceptual V1.1
Explaining tangent planes for functions of two variables and how to calculate them
Graphs for Data
Explanation of graphs for data and which are appropriate for categorical or numerical data
Notation
Explaining the notation used for statistics and parameter for mean, standard deviation, variance, proportion, and slope